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Finding the Third Proportional to 23,136 and 34,272

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Solution

The third proportional to 23,136 and 34,272 is: 50,768.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,136 : 34,272 = 34,272 : x
  2. Step 2: Convert to fraction form
    23,136/34,272 = 34,272/x
  3. Step 3: Cross multiply
    23,136x = 34,272 × 34,272
  4. Step 4: Simplify right side
    23,136x = 1,174,569,984
  5. Step 5: Solve for x
    x = 1,174,569,984/23,136
  6. Step 6: Final answer
    x = 50,768.07

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.